This book describes the hydrodynamic theory of flocking â the collective motion of large numbers of organisms. Through applying powerful techniques, such as hydrodynamic theories, the gradient expansion, and the renormalization group, readers from physics, mathematics, and biology are given the tools to understand this exciting field of research.
This book describes the hydrodynamic theory of flocking â the collective motion of large numbers of organisms. Through applying powerful techniques, such as hydrodynamic theories, the gradient expansion, and the renormalization group, readers from physics, mathematics, and biology are given the tools to understand this exciting field of research.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
John Toner is a theoretical physicist and Professor Emeritus at the University of Oregon, with a primary research focus in condensed matter physics. He predicted that soap is the best soundproofing material, and that quasicrystals are the hardest. He was awarded the American Physical Society's 2020 Onsager Prize in Statistical Physics for his pioneering work on flocking. He has also been the recipient of Simons and Gutzwiller Fellowships, and is a Fellow of the American Physical Society.
Inhaltsangabe
1. Introduction and motivation: are birds smarter than nerds? 2. Dynamical derivation (and a more conventional one) of the Mermin-Wagner-Hohenberg Theorem or, why we can't all point the same way 3. The dynamical Renormalization Group or, why we can do physics, illustrated by the KPZ equation 4. Formulating the hydrodynamic model for flocking 5. The dynamical renormalization group applied to the flocking problem 6. Incompressible polar active fluids in the moving phase in dimensions d > 2: the 'canonical' exponents 7. Heuristic argument for the canonical exponents ('20-20 hindsight handwaving argument') 8. Incompressible flocks in spatial dimensions d = 2: mapping to the KPZ equation 9. 'Malthusian' flocks (flocks with birth and death) Bibliography Index.
1. Introduction and motivation: are birds smarter than nerds? 2. Dynamical derivation (and a more conventional one) of the Mermin-Wagner-Hohenberg Theorem or, why we can't all point the same way 3. The dynamical Renormalization Group or, why we can do physics, illustrated by the KPZ equation 4. Formulating the hydrodynamic model for flocking 5. The dynamical renormalization group applied to the flocking problem 6. Incompressible polar active fluids in the moving phase in dimensions d > 2: the 'canonical' exponents 7. Heuristic argument for the canonical exponents ('20-20 hindsight handwaving argument') 8. Incompressible flocks in spatial dimensions d = 2: mapping to the KPZ equation 9. 'Malthusian' flocks (flocks with birth and death) Bibliography Index.
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